Genus one Birkhoff sections for geodesic flows
Geometric Topology
2015-08-05 v2 Dynamical Systems
Abstract
We prove that the geodesic flow on the unit tangent bundle to every hyperbolic 2-orbifold that is a sphere with 3 or 4 singular points admits explicit genus one Birkhoff sections, and we determine the associated first return maps.
Keywords
Cite
@article{arxiv.1208.6405,
title = {Genus one Birkhoff sections for geodesic flows},
author = {Pierre Dehornoy},
journal= {arXiv preprint arXiv:1208.6405},
year = {2015}
}
Comments
19 pages, 14 figures